MATHEMATICS MIDDLE SCHOOL

A line contains the point (8, –5). If the slope of the line is 5/7, write the equation of the line using point-slope form.

Answers

Answer 1

Answer:

Answer: $(y+5)=(5)/(7)(x-8)$

Step-by-step explanation:

The point slope form of a line having slope m and point (a,b) is given by :-

$(y-b)=m(x-a)$

Given: A line contains the point = (8, –5)

The slope of the line = $(5)/(7)$

Now, the point slope form of a line having slope $(5)/(7)$ and point (8,-5) is given by :-

$(y-(-5))=(5)/(7)(x-8)\n\n\Rightarrow\ (y+5)=(5)/(7)(x-8)$

Hence, the equation of the line = $(y+5)=(5)/(7)(x-8)$

Answer 2

Answer:

Answer: The required equation of the line is $y+5=(5)/(7)(x-8).$

Step-by-step explanation: Given that a line contains the point (8, -5) and the slope of the line is {tex]\dfrac{5}{7}.[/tex]

We are to write the equation of the line using point-slope form.

We know that

the equation of a line with slope m and passing through the point (a, b) is given by

$y-b=m(x-a).$

For the given line, we have

$m=(5)/(7),~~~(a,b)=(8,-5).$

Therefore, the equation of the line will be

$y-b=m(x-a)\n\n\Rightarrow y-(-5)=(5)/(7)(x-8)\n\n\Rightarrow y+5=(5)/(7)(x-8).$

Thus, the required equation of the line is $y+5=(5)/(7)(x-8).$

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Emily;s family drove 254.6 miles. Their car used 19 gallons of gasoline. Describe the car's gas mileage.

Answers

You take your miles driven divided by the gallons of gas used.

So,

254.6 miles/19 gallons = 13.4

The gas mileage of the car is 13.4

Hope this helps :D

2x-8 what is the answer

Answers

2x-8if it means2 times -8 then 2 times -8=2 time s8 times -1=16 times -16if it is x is a placeholder then undistribute whereab+ac=a(b+c)so2x-82(x)-2(4)=2(x-4)so the factored form is 2(x-4)there is no equation so we cannot solve for x2x-8 could be equal to 3 or pi for all we know

The answer is x - 4.

You have to isolate the variable so you divide 2 from both sides leaving you with x - 4. Since you can't simplify it anymore, the answer will be x - 4. Hope I helped.

Explain how a bar graph and a picture graph are alike

Answers

They both have a x and y axis

Final answer:

Bar graphs and picture graphs are alike in that they both are graphical representations used to visually present data. The sizes of the bars/pictures in both graphs correspond to the size or frequency of the data represented. They provide a concrete, visual way to compare different sets of data.

Explanation:

A bar graph and a picture graph are alike in that they both are graphical representations of data. These types of graphs are used to visually present quantitative data that can be compared with each other. In both graphs, the length or height of the bars or pictures corresponds to the amount or frequency of the data they represent.

For example, let's say we have data on the number of apples, oranges, and bananas sold in a store. In a bar graph, this data would be represented by bars of different heights, with each bar standing for a different fruit. In a picture graph (or pictograph), the same data would be shown using pictures of apples, oranges, and bananas, with the number of pictures representing the quantity sold.